如图,已知O(0,0),B(2,3),点A在坐标轴上,且S△OAB=6,求满足条件的点A的坐标标.
问题描述：
如图,已知O(0,0),B(2,3),点A在坐标轴上,且S△OAB=6,求满足条件的点A的坐标标.
答
(1) 如A在x轴上, 令A(a, 0)S = (1/2)|OA|*B的纵坐标 = (1/2)|a|*3 = 6|a| = 4A(4, 0)或 A(-4, 0)(2)如A在y轴上, 令A(0, a)S = (1/2)|OA|*B的横坐标 = (1/2)|a|*2 = 6|a| = 6A(0, 6)或A(0, -6)